56988 has 18 divisors (see below), whose sum is σ = 144144. Its totient is φ = 18984.

The previous prime is 56983. The next prime is 56989. The reversal of 56988 is 88965.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1583 = 56988 / (5 + 6 + 9 + 8 + 8).

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56988.

It is not an unprimeable number, because it can be changed into a prime (56983) by changing a digit.

56988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 756 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2⁵⁶⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

56988 is an abundant number, since it is smaller than the sum of its proper divisors (87156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56988 is a wasteful number, since it uses less digits than its factorization.

56988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1588 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 56988 is about 238.7215951689. The cubic root of 56988 is about 38.4823104207.

The spelling of 56988 in words is "fifty-six thousand, nine hundred eighty-eight".